1. Chapter 6.1 POLYGONS

2.  Draw a picture of a polygon on each of your post-it notes.  Try to draw two different types of polygons (be creative).  Post them on the far wall (under “Polygons” sign) DRAW AND POST

3.  Take a minute to think about your drawings, what makes a figure a polygon?  Pair up with someone and share your thoughts. (Be sure to listen to their thoughts as well.)  Write down properties you think must exist to call something a polygon. THINK/PAIR/SHARE

4. Polygons Not Polygons SECTION 6.1 WHAT IS A POLYGON? (WRITE DOWN)

5.  Three or more sides  No curved sides  Each segment connects to only two others (segments don’t cross) A POLYGON HAS…(WRITE DOWN)

6.  Ones - come up the board and remove any examples from the wall that you think are not polygons and put them on the table in front of the computers.  Twos – Check to see if you agree with the drawings that were removed. Then go to the wall and make sure that Group 1 removed all the drawings that should have been removed. DECIDE AND CHECK

7. Convex Polygons CONVEX VS CONCAVE (WRITE DOWN) Concave Polygons

8. Convex Polygons WHAT’S THE DIFFERENCE? Concave Polygons

9.  Twos– Go to the wall and divide the drawings into two groups (Concave/Convex)  Ones – Check to see that the Twos grouped the drawings correctly DECIDE AND CHECK

10.  If all the angles in a polygon are equal it’s called  If all the sides in a polygon are equal it’s called  If a polygon is both equilateral and equiangular it is regular (write down) equiangular equilateral

11.  Polygon Names Polygon Names POLYGON NAMES

12.  Ones – Go to the wall and label all the Concave drawings with the appropriate name.  Twos – Go to the wall and label all the Convex drawings with the appropriate name. DECIDE AND CHECK

13.  A diagonal connects two non- consecutive vertices (write down) DIAGONALS

14.  A rectangle has 2 diagonals  Draw the diagonals of a pentagon (5 sides) DIAGONALS

15. PENTAGON

16.  In your notes create a table, the size of a full sheet of paper, that has 4 columns and 12 rows. Leave enough room to draw a picture below the name. TRIANGLES IN A POLYGON Name# of sides# of trianglesInterior Angle Sum Triangle31180 Quadrilateral …. Dodecagon n-gon nn - 2 (n – 2) x 180

17.  113+98+42+x=360  253+x=360  X=107 SOLVE FOR X

18.  90+90+2x+25+3x+5=360  210+5x=360  5x=150  X=30 SOLVE FOR X

19.  What does each interior angle equal in an equiangular 20-gon?  What does each interior angle equal in an equiangular n-gon?  Use this formula to find what each interior angle equals in an equiangular 40-gon. EQUIANGULAR POLYGONS

20.  First: Name the Polygon.  Second: Determine whether the polygon is convex or concave.  Third: Determine whether the polygon is equilateral, equiangular, regular, or neither.  Fourth: Solve for x. EXIT TICKET: (INDEX CARD) REMEMBER TO WRITE YOUR NAME! x x x x 6.1 Homework (per website/ assignment sheet) is due on Monday!